The answer is 32.72 degree.
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First, we are going to find the vertex of our quadratic. Remember that to find the vertex

of a quadratic equation of the form

, we use the vertex formula

, and then, we evaluate our equation at

to find

.
We now from our quadratic that

and

, so lets use our formula:




Now we can evaluate our quadratic at 8 to find

:




So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:



The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is

The x-coordinate of the minimum is 8
Answer:
g(f(4)) = -3
Step-by-step explanation:
f(x)=x-7
g(x) = x
g(f(4))
f(4) = 4-7
f(4) = -3
g(-3) = -3
<h3><u>
Answer:</u></h3>
The circumference of a circle with diameter of 98 in. is about 308 in.
<h3><u>
Step-by-step explanation:</u></h3>
<u>We know the diameter. Using the diameter, we can find the circumference.</u>
- => Diameter = 98 in.
- => Radius = 98/2
- => Radius = 49 in.
<u>Circumference = 2πr</u>
- => 2 x 22/7 x 49
- => 2 x 22 x 7
- => 308 in.
<h3><u>Conclusion:</u></h3>
Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.
Hoped this helped.
